Abstract
In this paper, we propose an algorithm to build discrete spherical shell having integer center and real-valued inner and outer radii on the face-centered cubic (FCC) grid. We address the problem by mapping it to a 2D scenario and building the shell layer by layer on hexagonal grids with additive manufacturing in mind. The layered hexagonal grids get shifted according to need as we move from one layer to another and forms the FCC grid in 3D. However, we restrict our computation strictly to 2D in order to utilize symmetry and simplicity.
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Koshti, G., Biswas, R., Largeteau-Skapin, G., Zrour, R., Andres, E., & Bhowmick, P. (2018). Sphere Construction on the FCC Grid Interpreted as Layered Hexagonal Grids in 3D. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11255 LNCS, pp. 82–96). Springer Verlag. https://doi.org/10.1007/978-3-030-05288-1_7
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